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4-5 Isosceles and Equilateral Triangles Learning Goal 1. To use and apply properties of isosceles and equilateral triangles.

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Presentation on theme: "4-5 Isosceles and Equilateral Triangles Learning Goal 1. To use and apply properties of isosceles and equilateral triangles."— Presentation transcript:

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2 4-5 Isosceles and Equilateral Triangles

3 Learning Goal 1. To use and apply properties of isosceles and equilateral triangles.

4 Vertex angle: The angle formed by the two congruent sides of an isosceles triangle. Base: Side opposite the vertex angle of an isosceles triangle. Legs: Congruent sides of an isosceles triangle.

5 Parts of an Isosceles Triangle Draw this big and label it with the definitions.

6 Vertex angle Base Leg Base angle Base angle

7 Isosceles Triangle Theorem If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

8 If ON = OJ, then J = N O J N ~~

9 Converse of Isosceles Triangle Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

10 If S = A, then SM = AM S A M ~~

11 Theorem 4-5 If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base.

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13 Turn to page 253. 10 1-3, 11-17, 25, 28, 30-32 5 Points: 100% Complete 4 Points: 80% Complete 3 Points: 60% Complete 2 Points: 40% Complete 1 Point: 20% Complete


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